Transitively normal subgroup of normal subgroup

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This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof, invariant under subgroup equivalence. View a complete list of subgroup properties[SHOW MORE]
This page describes a subgroup property obtained as a composition of two fundamental subgroup properties: transitively normal subgroup and normal subgroup
View other such compositions|View all subgroup properties

Definition

Definition with symbols

A subgroup H of a group G is termed a transitively normal subgroup of normal subgroup if there exists a subgroup K of G containing H such that K is a normal subgroup of G and H is a transitively normal subgroup of K.

Relation with other properties

Stronger properties

Weaker properties